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Alexxandr [17]
2 years ago
15

Triangles T1 and T2 are congruent.

Mathematics
1 answer:
Inessa [10]2 years ago
3 0

The single transformation that can be used to map T₁ onto T₂ is Rotate T₁ 180° about the origin.

<h3>What transformation would map T₁ onto T₂?</h3>

When a shape is rotated 180° about the origin, it means that the points go from (x, y) to (-x, -y).

The points on T₁ if rotated 180° about the origin would go from:
(-2, -2) to (2, 2)

(5, -6) to (-5, 6)

(5,0) to (-5, 0)

These are the points of T₂ so the way to map T₁ on T₂ is to use a 180° about the origin.

Find out more on rotating about the origin at brainly.com/question/16200542

#SPJ1

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Complete question :

On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?

Answer:

1.6 hours

Step-by-step explanation:

Given the function :

Time t taken for flying distance d is given by:

t = 1/500 * d

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Bill has 4 times as much money as Ted. If Ted spends $100 and Ted spends 75, Bill will have 5 times as much money as ted. How mu
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<h3><u>Question:</u></h3>

Bill has four times as much money as Ted. If Ted spends $100 and Bill spends $75, Bill will have five times as much money as Ted. How much money do Bill and Ted have before and after spending money?

<h3><u>Answer:</u></h3>

Before spending money, Bill has $1700 and Ted has $425

After spending money, Bill has $ 1625 and Ted has $ 325

<h3><u>Solution:</u></h3>

Let the amount of money Bill has be "b"

Let the amount of money Ted has be "t"

Bill has 4 times as much money as Ted, we can say the following:

b = 4t  ---------- eqn 1

If Ted spends $100 and Ted spends 75, Bill will have 5 times as much money as ted.

b - 75 = 5 ( t - 100 )  ----- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

4t - 75 = 5( t - 100 )

4t - 75 = 5t - 500

5t - 4t = 500 - 75

<h3>t = 425</h3>

From eqn 1,

b = 4(425) = 1700

<h3>b = 1700</h3>

So, before spending money, Bill has $1700 and Ted has $425.

<u><em>After spending money:</em></u>

Bill = b - 75 = 1700 - 75 = $ 1625

Ted = t - 100 = 425 - 100 = $ 325

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